1. The prime factorization of two numbers, a and b, have some missing prime factors. Show/explain your work for full marks. [ /4 marks]

A=2x3x?
B=?x?
a. The GCF of a and b is 5. What is the value of A?
b. The LCM of a and b is 210. What is the value of B?

1 answer

a. Since the GCF of a and b is 5, it means that the missing prime factor in A must be 5. So, the value of A is 2x3x5.

b. The prime factorization of 210 is 2x3x5x7. To find the missing prime factors in B, we need to divide 210 by A, which is 2x3x5. The result is B = 7.

Therefore, the value of A is 2x3x5 and the value of B is 7.